一类含脉冲项的Wendroff型积分不等式的推广及应用

米玉珍

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (5) : 620-629.

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PDF(299 KB)
系统科学与数学 ›› 2014, Vol. 34 ›› Issue (5) : 620-629. DOI: 10.12341/jssms12329
论文

一类含脉冲项的Wendroff型积分不等式的推广及应用

    米玉珍
作者信息 +

GENERALIZED WENDROFF TYPE IMPULSIVE INTEGRAL INEQUALITIES WITH APPLICATIONS

    MI Yuzhen
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摘要

利用数学归纳法研究了一类含脉冲项的Wendroff型积分不等式.与以往的结果相比, 本文不需要非线性函数ω(u)满足次可乘性,且a(x,y)可不满足单调性. 最后,通过实例给出了利用以往的结论却无法解决的一类含脉冲的偏微分方程的解的有界性.

Abstract

This paper deals with some generalized Wendroff type impulsive integral inequalities and their applications. Compared to existing results, the conditions for
related coefficient functions are weakened. An example is given to show the bound- edness of solutions of a partial differential equation with impulsive terms.

关键词

积分不等式 / 时滞 / 脉冲 / 非线性.

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米玉珍. 一类含脉冲项的Wendroff型积分不等式的推广及应用. 系统科学与数学, 2014, 34(5): 620-629. https://doi.org/10.12341/jssms12329
MI Yuzhen. GENERALIZED WENDROFF TYPE IMPULSIVE INTEGRAL INEQUALITIES WITH APPLICATIONS. Journal of Systems Science and Mathematical Sciences, 2014, 34(5): 620-629 https://doi.org/10.12341/jssms12329
中图分类号: 26D15    26D20   
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